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20142026
most citedMatrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems

831 citations

Showing 2018 · math-phShow all

5 papers · 2 filters

math-ph2018★ 1 cited

Are almost-symmetries almost linear?

Javier Cuesta, Michael M. Wolf

It pends. Wigner's symmetry theorem implies that transformations that preserve transition probabilities of pure quantum states are linear maps on the level of density operators…

math-ph2018★ 6 cited

Bounds on the bipartite entanglement entropy for oscillator systems with or without disorder

Vincent Beaud, Julian Sieber, Simone Warzel

We give a direct alternative proof of an area law for the entanglement entropy of the ground state of disordered oscillator systems---a result due to Nachtergaele, Sims and Stolz.…

math-ph2018★ 6 cited

Delocalization and continuous spectrum for ultrametric random operators

Per von Soosten, Simone Warzel

This paper studies the delocalized regime of an ultrametric random operator whose independent entries have variances decaying in a suitable hierarchical metric on . Whe…

math-ph2018★ 3 cited

The Atomic Density on the Thomas--Fermi Length Scale for the Chandrasekhar Hamiltonian

Konstantin Merz, Heinz Siedentop

We consider a large neutral atom of atomic number , modeled by a pseudo-relativistic Hamiltonian of Chandrasekhar. We study its suitably rescaled one-particle ground state densi…

math-ph2018★ 8 cited

Unitary Dilations of Discrete-Time Quantum-Dynamical Semigroups

Frederik vom Ende, Gunther Dirr

We show that the discrete-time evolution of an open quantum system generated by a single quantum channel can be embedded in the discrete-time evolution of an enlarged closed qu…